Momentum-space calculation of ${}^4$He triatomic system with realistic potential

TL;DR

This paper presents a momentum-space approach to accurately compute properties of the ${}^4$He triatomic system, overcoming coordinate-space challenges and providing improved results for energies and scattering parameters.

Contribution

The study introduces a momentum-space framework for ${}^4$He triatomic calculations, resolving previous coordinate-space difficulties and yielding highly accurate results.

Findings

Accurate ground and excited trimer energies obtained.

Reliable scattering lengths, phase shifts, and cross sections calculated.

Significant correction found for low-energy elastic cross section.

Abstract

The system of three ${}^4\mathrm{He}$ atoms with realistic interactions is studied in the momentum-space framework. It is demonstrated that short and long-range difficulties encountered in the coordinate-space calculations can be reliably resolved in the momentum-space calculations. Well-converged and accurate results are obtained for the ground and excited trimer energies, atom-dimer scattering length, phase shifts, inelasticity parameters, and elastic and breakup cross sections. A significant correction to previously published results is found for the elastic cross section at very low energy.